12201644400 has 240 divisors, whose sum is σ = 42883171968. Its totient is φ = 2941056000.

The previous prime is 12201644387. The next prime is 12201644431. The reversal of 12201644400 is 444610221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2386647 + ... + 2391753.

Almost surely, 2^12201644400 is an apocalyptic number.

12201644400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21441585984).

12201644400 is an abundant number, since it is smaller than the sum of its proper divisors (30681527568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12201644400 is a wasteful number, since it uses less digits than its factorization.

12201644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5320 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 12201644400 in words is "twelve billion, two hundred one million, six hundred forty-four thousand, four hundred".